Interaction of Quantum Dot Molecules with Multi-Mode Radiation Fields

In this article, the interaction of an arbitrary number of quantum dots behaving as artificial molecules with different energy levels and a multi-mode electromagnetic field is studied. We make the assumption that each quantum dot can be represented as an atom with zero kinetic energy, and that all excitonic effects except dipole-dipole interactions may be disregarded. We use the Jaynes-Gummings-Paul model with applications to quantum systems based on a time-dependent Ilam.iltonian and entangled states. We obtain a system of equations describing the interaction, and present a method to solve the equations analytically for a single mode field within the Rotating-Wave Approximation. ,4,s an example of the applicability of this approach, we solve the system of two, two-level quantum dots in a lossless cavity with two modes of electromagnetic field. We, furthermore, study the evolution of entanglement by defining and computing the concurrency.